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The phrase "above conjectures" is correct and usable in written English.
It can be used when referring to theories or hypotheses that have been previously mentioned in the text.
Example: "The results of the experiment support the above conjectures regarding the behavior of the substance under varying temperatures."
Alternatives: "previous theories" or "earlier hypotheses".
Exact(5)
It seems difficult to prove the above conjectures.
The technique of stress optics combined with high speed photography is used in conjunction with Araldite models of the drill steel to verify the above conjectures.
In spite of this handicap, we prove that an additional assumption, which is not too much restrictive, on the self-mapping is enough to provide Nemytskii-Edelstein type fixed point theorems in the spirit of the above conjectures.
29 We were unable to test the reasons for the pattern of association within this study, but future research may explore the above conjectures.
25 However, the above conjectures about calibration could never have been made if the predicted outcomes had not existed in CPR validation studies or were not accessible.
Similar(55)
Then the above conjecture is true for (G).
In this article, we gives a partial answer to the above conjecture.
In the following paper, they prove the above conjecture in the nonmodular.
We can ask why it is interesting to solve the above conjecture.
Thus, if the above conjecture holds, then the case of CH parallels that of ¬CH, only now Σ22 takes the place of the theory of H ω2).
In the same paper in which he stated the above conjecture, Snevily mentions that it seems hard to prove the above bound and states the following weaker conjecture.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com